Numerical vortex solutions in (3+1) dimensions for the extended $CP^N$ Skyrme-Faddeev model

P. Klimas; N. Sawado

Numerical vortex solutions in (3+1) dimensions for the extended $CP^N$ Skyrme-Faddeev model

High Energy Physics - Theory 2012-10-30 v1 Exactly Solvable and Integrable Systems

Authors: P. Klimas , N. Sawado

Abstract

We construct numerical vortex solutions in a (3+1) dimensional Minkowski space-time for the extended version of the Skyrme-Faddeev model with target space $CP^N$ . The solutions are essentially composed of $N$ -th single vortex which does not belong to the integrable sector. They have finite energy per unit length and contain waves propagating along vortices with the speed of light. In this Letter we report on the case N=2 and show existence of the solutions with the charges $(n_1,n_2)=(1,2)$ .

Keywords

Skyrme-Faddeev model vortex solutions CP^N target space numerical solutions Minkowski space-time non-integrable sector topological charges

Cite

@article{arxiv.1210.7523,
  title  = {Numerical vortex solutions in (3+1) dimensions for the extended $CP^N$ Skyrme-Faddeev model},
  author = {P. Klimas and N. Sawado},
  journal= {arXiv preprint arXiv:1210.7523},
  year   = {2012}
}

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12 pages, 3 figures

Numerical vortex solutions in (3+1) dimensions for the extended $CP^N$ Skyrme-Faddeev model

Abstract

Keywords

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